Now showing items 1-2 of 2
Propagation property for anisotropic nonlinear diffusion equation with convection
(Journal of Mathematical Analysis and Applications, 2009)
We consider propagation property for anisotropic diffusion equation with convection in 2 dimension, ∂t um − ∂x1 |∂x1u|p1−1∂x1u − ∂x2 |∂x2u|p2−1∂x2u + uα−1∂x1u = 0, where p1, p2,m,α > 0. Among the ...
Propagation Property for Nonlinear Parabolic Equations of p-Laplacian-Type1
(Int. Journal of Math. Analysis, 2009)
We study propagation property for one-dimensional nonlinear diffusion equations with convection-absorption, including the prototype model ∂t(um) − ∂x(|∂xu|p−1∂xu) − μ|∂xu|q−1∂xu + λuk = 0, where m, p, q, k > 0, and ...